Nonlinear Stochastic Dynamics of Complex Systems, II: Potential of Entropic Force in Markov Systems with Nonequilibrium Steady State, Generalized Gibbs Function and Criticality

In this paper we revisit the notion of the "minus logarithm of stationary probability" as a generalized potential in nonequilibrium systems and attempt to illustrate its central role in an axiomatic approach to stochastic nonequilibrium thermodynamics of complex systems. It is demonstrated that this quantity arises naturally through both monotonicity results of Markov processes and as the rate function when a stochastic process approaches a deterministic limit. We then undertake a more detailed mathematical analysis of the consequences of this quantity, culminating in a necessary and sufficient condition for the criticality of stochastic systems. This condition is then discussed in the context of recent results about criticality in biological systemsComment: 28 page

Application of conformal mapping to diffraction and scattering problems

Integral equation method based on conformal mapping applied to scattering and diffraction problems of plane waves by infinite cylinder with arbitrary cross sectio

Scientific publications of the bioscience programs division. Volume 5 - Planetary quarantine

Bibliography and indexes on planetary quarantin

Scientific publications of the Bioscience Program Division. Volume II - Environmental biology

Environmental biology bibliography, including citations on biochemistry, radiobiology, and bioinstrumentatio

Thermal Right-Handed Sneutrino Dark Matter

We discuss the relic abundance of the right-handed sneutrinos in the supersymmetric F_D-term model of hybrid inflation. As well as providing a natural solution to the mu- and gravitino overabundance problems, the model offers the lightest right-handed sneutrino as a candidate for thermal dark matter. The F_D-term model predicts a new quartic coupling of purely right-handed sneutrinos to the Higgs doublets that thermalizes the sneutrinos and makes them annihilate sufficiently fast to a level compatible with the current cosmic microwave background data. We discuss this scenario and identify favourable regions of the parameter space within mSUGRA.Comment: Submitted for the SUSY08 proceedings, 3 pages, LaTeX, 2 eps figure